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New Relations for Gauge-Theory Amplitudes
We present an identity satisfied by the kinematic factors of diagrams describing the tree amplitudes of massless gauge theories. This identity is a kinematic analog of the Jacobi identity for color…
Perturbative quantum gravity as a double copy of gauge theory.
It is conjecture that this duality persists to all quantum loop orders and can thus be used to obtain multiloop gravity amplitudes easily from gauge-theory ones.
Three-Loop Superfiniteness of N=8 Supergravity
We construct the three-loop four-point amplitude of N=8 supergravity using the unitarity method. The amplitude is ultraviolet finite in four dimensions. Novel cancellations, not predicted by…
Five-point amplitudes in N=4 super-Yang-Mills theory and N=8 supergravity
We present the complete integrands of five-point superamplitudes in N = 4 super-Yang-Mills theory and N = 8 supergravity, at one and two loops, for four-dimensional external states and D-dimensional…
Simplifying multiloop integrands and ultraviolet divergences of gauge theory and gravity amplitudes
We use the duality between color and kinematics to simplify the construction of the complete four-loop four-point amplitude of N = 4 super-Yang-Mills theory, including the nonplanar contributions.…
Ultraviolet behavior of N = 8 supergravity at four loops.
- Z. Bern, J. Carrasco, L. Dixon, H. Johansson, R. Roiban
- Physics, GeologyPhysical review letters
- 14 May 2009
We describe the construction of the complete four-loop four-particle amplitude of N=8 supergravity. The amplitude is ultraviolet finite, not only in four dimensions, but in five dimensions as well.…
The Duality Between Color and Kinematics and its Applications
This review describes the duality between color and kinematics and its applications, with the aim of gaining a deeper understanding of the perturbative structure of gauge and gravity theories. We…
Maximally Supersymmetric Planar Yang-Mills Amplitudes at Five Loops
We present an Ansatz for the planar five-loop four-point amplitude in maximally supersymmetric Yang-Mills theory in terms of loop integrals. This Ansatz exploits the recently observed correspondence…
Cancellations beyond finiteness in N=8 supergravity at three loops.
- Z. Bern, J. Carrasco, L. Dixon, H. Johansson, D. Kosower, R. Roiban
- PhysicsPhysical review letters
- 20 February 2007
Novel cancellations not predicted by traditional superspace power-counting arguments render its degree of divergence in D dimensions no worse than that of N=4 super-Yang-Mills theory--a finite theory in four dimensions.
Unexpected Cancellations in Gravity Theories
Recent computations of scattering amplitudes show that N = 8 supergravity is surprisingly well behaved in the ultraviolet and may even be ultraviolet finite in perturbation theory. The novel…